Home / 1,533.21-2,299.20-803.40

Finding the Fourth Proportional to 1,533.21, 2,299.20 and 803.40

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Solution

The fourth proportional to 1,533.21, 2,299.20 and 803.40 is: 1,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.21 : 2,299.20 = 803.40 : x
  2. Step 2: Convert to fraction form
    1,533.21/2,299.20 = 803.40/x
  3. Step 3: Cross multiply
    1,533.21x = 2,299.20 × 803.40
  4. Step 4: Simplify right side
    1,533.21x = 1,847,177.28
  5. Step 5: Solve for x
    x = 1,847,177.28/1,533.21
  6. Step 6: Final answer
    x = 1,204.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.